arXiv 1206.31132012-06-14hep-lathep-exhep-ph

电弱观测量的非微扰QCD修正

Nonperturbative QCD corrections to electroweak observables

Dru B. Renner, Xu Feng, Karl Jansen, Marcus Petschlies

备注：: proceedings of plenary talk at Lattice 2011

摘要：

非微扰QCD修正对许多低能电弱观测量都很重要，例如μ子磁矩。然而，强子修正在更高的能量下也起着重要的作用，因为它们会影响标准模型参数的运行，如电磁耦合。目前，这些强子的贡献占实验测量，有效场论技术和唯象建模的组合，但理想情况下应该从第一原理计算。最近的发展表明，许多最重要的强子修正可以用格点量子色动力学方法来计算。为了说明这一点，我们将检查的领导阶QCD修正的μ子磁矩的晶格计算，特别注意最近开发的方法，但也审查从其他计算的结果。然后，我们将继续用几个例子来证明新方法的潜在影响：电子和τ磁矩的首阶修正，电磁耦合的运行，以及μ子磁矩的次首阶修正。在此过程中，我们将提到阿德勒函数的应用，它可以用来确定强耦合常数，和μ子氢的QCD修正。

英文摘要：

Nonperturbative QCD corrections are important to many low-energy electroweak observables, for example the muon magnetic moment. However, hadronic corrections also play a significant role at much higher energies due to their impact on the running of standard model parameters, such as the electromagnetic coupling. Currently, these hadronic contributions are accounted for by a combination of experimental measurements, effective field theory techniques and phenomenological modeling but ideally should be calculated from first principles. Recent developments indicate that many of the most important hadronic corrections may be feasibly calculated using lattice QCD methods. To illustrate this, we will examine the lattice computation of the leading-order QCD corrections to the muon magnetic moment, paying particular attention to a recently developed method but also reviewing the results from other calculations. We will then continue with several examples that demonstrate the potential impact of the new approach: the leading-order corrections to the electron and tau magnetic moments, the running of the electromagnetic coupling, and a class of the next-to-leading-order corrections for the muon magnetic moment. Along the way, we will mention applications to the Adler function, which can be used to determine the strong coupling constant, and QCD corrections to muonic-hydrogen.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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